Basement soil seepage field calculation method and system based on floor pressure relief valve
By dividing the seepage field into multiple computational domains and setting boundary conditions, the analytical method is used to solve the seepage field of the basement soil. This solves the problem of complex and time-consuming calculations in existing technologies, and enables rapid and accurate assessment of the seepage field and water pressure, thus improving the theoretical support for the design of pressure relief valves.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- CHINA CONSTR FIFTH ENG DIV CORP LTD
- Filing Date
- 2026-04-17
- Publication Date
- 2026-06-09
AI Technical Summary
Existing technologies lack precision and universality in calculating the soil seepage field distribution and water pressure of the pressure relief valve in the basement construction in areas with high groundwater levels. Numerical calculations are complex and time-consuming.
The analytical method is used to divide the calculation area of the seepage field into multiple calculation domains. Boundary conditions are set for each calculation domain. The series form of the total head of each calculation domain is solved by the method of separation of variables. The water pressure distribution of the basement floor slab and side walls is calculated by combining the Bernoulli equation.
It enables rapid and accurate solutions to the soil seepage field distribution and water pressure under arbitrary working conditions, simplifies the calculation process, improves versatility, saves calculation time, and provides a theoretical basis for the design of pressure relief valve layout.
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Figure CN122174503A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of building engineering technology, and in particular to a method and system for calculating the seepage field of basement soil based on a pressure relief valve in the basement, an electronic device, and a computer-readable storage medium. Background Technology
[0002] During the construction and operation of basements in areas with high groundwater levels, groundwater can easily create high hydrostatic pressure around the basement structure. This pressure, acting on the basement floor slab and sidewalls over a long period, can easily lead to damage such as floor slab heave, sidewall deformation, and structural cracking and leakage, severely impacting the basement's functionality and durability. To effectively mitigate the adverse effects of high water pressure on basement structures, the engineering field often employs active control technology by pre-installing pressure relief valves on the basement floor slab. These valves actively drain excess seepage water around the basement, reducing seepage pressure on the surrounding soil and thus decreasing the water pressure load on the floor slab and sidewalls, thereby protecting the basement structure. This technology, due to its convenient construction and direct control effect, has been widely applied in basement projects in areas with high groundwater levels. However, existing research and applications of pressure relief valves for basement floors mainly focus on the structural design and on-site construction methods of the valves themselves. The distribution of the soil seepage field after the installation of the pressure relief valve and the accurate calculation of the water pressure in the basement structure rely on numerical methods. However, numerical methods require separate modeling and calculation for each current working condition, which has poor versatility and is also complex and time-consuming. Summary of the Invention
[0003] This invention provides a method and system for calculating the seepage field of basement soil based on a pressure relief valve, as well as electronic equipment and a computer-readable storage medium. It can quickly and accurately solve the distribution of the soil seepage field and the water pressure of the basement floor and sidewalls under any working condition, thereby accurately quantifying and evaluating the effect of the pressure relief valve on the water pressure reduction of the basement floor and sidewalls. It has better versatility and shorter processing time.
[0004] According to one aspect of the present invention, a method for calculating the seepage field of basement soil based on a pressure relief valve in the basement slab is provided, comprising the following: A two-dimensional steady-state seepage field analytical calculation model for pressure relief of the basement floor slab is constructed, and the calculation area of the seepage field is defined; The basic assumptions of the seepage field calculation domain are set, the seepage field calculation domain is divided into multiple calculation domains, and the boundary conditions of each calculation domain are set. The series form of the total head of each computational domain is obtained by solving the boundary conditions of each computational domain. Based on the condition that the total head and flow rate are continuous between adjacent computational domains, the undetermined coefficients in the series form of the total head of each computational domain are solved, and the explicit analytical solution of the total head of each computational domain is obtained. Based on the explicit analytical solution of the total head in each computational domain, the water pressure distribution on the basement floor and side walls is calculated.
[0005] Furthermore, the basic assumptions of the seepage field calculation area include: the central axis of the basement is an impermeable boundary; the groundwater level remains constant; the impermeable layer, the basement floor slab, and the side walls are impermeable boundaries; the pressure head at the pressure relief valve is constant; the total head of the boundary outside the seepage field influence boundary remains constant and is the same as the total head of the surface; the soil is homogeneous and isotropic in permeability, and the groundwater seepage in the soil is steady-state seepage.
[0006] Furthermore, the process of dividing the seepage field calculation region into multiple calculation domains includes the following: A two-dimensional coordinate system is established with the intersection of the basement floor slab and the side wall as the origin, the width of the basement floor slab as the positive x-axis, and the height of the side wall as the positive y-axis. The area enclosed by the negative x-axis, the seepage field influence boundary, the groundwater level, and the side wall is defined as the first calculation domain. The area enclosed by the negative x-axis, the negative y-axis, the seepage field influence boundary, and the impermeable layer is defined as the second calculation domain. The area enclosed by the negative y-axis, the basement floor slab, the impermeable layer, and the section containing the left end face of the pressure relief valve is defined as the third calculation domain. The area enclosed by the basement floor slab, the impermeable layer, the section containing the left end face of the pressure relief valve, and the section containing the right end face of the pressure relief valve is defined as the fourth calculation domain. The area enclosed by the basement floor slab, the impermeable layer, the section containing the right end face of the pressure relief valve, and the central axis of the basement is defined as the fifth calculation domain. The first and second calculation domains are adjacent in the y-axis direction, and the second, third, fourth, and fifth calculation domains are sequentially adjacent in the x-axis direction.
[0007] Furthermore, the boundary conditions for the first computational domain are: the total head at the left and upper boundaries is 1. a The right boundary is impermeable; the boundary condition of the second computational domain is: the total head at the left boundary is... a The lower boundary is impermeable; the boundary condition of the third computational domain is that both the upper and lower boundaries are impermeable; the boundary condition of the fourth computational domain is that the total head at the upper boundary is... The lower boundary is impermeable; the boundary conditions of the fifth computational domain are: the upper boundary, lower boundary, and right boundary are all impermeable; among them, a This represents the distance between the groundwater level and the basement floor slab along the y-axis. This indicates the pressure head at the pressure relief valve.
[0008] Furthermore, the series form of the total head in each computational domain is as follows: ; ; ; ; ; in, , , , These represent the total head distribution in the first, second, third, and fourth computational domains, respectively. , , , , , , , , , and Denotes the undetermined coefficients in the solution of a series. , and Represents the eigenvalues in the solution of the series. , , , a This represents the distance between the groundwater level and the basement floor slab along the y-axis. b This indicates the distance between the basement floor slab and the impermeable layer. c This represents the distance between the boundary and the sidewall affected by the seepage field along the x-axis. d Indicates the width of the pressure relief valve. e This indicates the distance between the pressure relief valve and the side wall. f This represents the distance between the pressure relief valve and the central axis of the basement. sin represents the sine function, sinh represents the hyperbolic sine function, cos represents the cosine function, and cosh represents the hyperbolic cosine function. This indicates the pressure head at the pressure relief valve.
[0009] Furthermore, the water pressure distribution on the sidewall is calculated based on the following formula: ; in, This indicates the water pressure distribution on the sidewall. It indicates the density of water.
[0010] Furthermore, the water pressure distribution on the basement floor slab is calculated based on the following formula: ; in, This indicates the water pressure distribution on the basement floor slab.
[0011] In addition, the present invention also provides a basement soil seepage field calculation system based on a basement pressure relief valve, comprising: The model building module is used to construct a two-dimensional steady-state seepage field analytical calculation model for pressure relief of the basement floor slab, and to set the seepage field calculation area; The region partitioning module is used to set the basic assumptions of the seepage field calculation region, divide the seepage field calculation region into multiple calculation domains, and set the boundary conditions of each calculation domain. The first calculation module is used to solve for the series form of the total head of each calculation domain based on the boundary conditions of each calculation domain. The second calculation module is used to solve for the undetermined coefficients in the series form of the total head of each calculation domain based on the conditions that the total head and flow rate are continuous between adjacent calculation domains, and to calculate the explicit analytical solution of the total head of each calculation domain. The third calculation module is used to calculate the water pressure distribution on the basement floor and side walls based on the explicit analytical solution of the total head of each calculation domain.
[0012] In addition, the present invention also provides an electronic device, including a processor and a memory, wherein the memory stores a computer program, and the processor executes the steps of the method described above by calling the computer program stored in the memory.
[0013] In addition, the present invention also provides a computer-readable storage medium for storing a computer program for calculating the seepage field of basement soil based on a pressure relief valve on a basement slab, wherein the computer program executes the steps of the method described above when running on a computer.
[0014] The present invention has the following beneficial effects: The method for calculating the seepage field of basement soil based on the pressure relief valve of the basement slab of the present invention cannot directly solve the entire seepage field calculation area because the boundary conditions of different parts of the entire seepage field calculation area are inconsistent. However, the present invention divides the seepage field into multiple calculation domains and sets the boundary conditions of each calculation domain, so that the total head of each calculation domain can be solved separately, and then the water pressure distribution on the basement floor slab and side walls can be calculated. This invention addresses the engineering conditions of installing pressure relief valves on basement floors in areas with high groundwater levels. For the first time, it proposes an analytical calculation method for the two-dimensional seepage field of soil and the water pressure in the basement structure, considering the active drainage pressure reduction effect. Compared to numerical methods, the analytical method can directly and intuitively present the head distribution at each point in the seepage field in functional form, clearly demonstrating the interrelationships between various influencing factors. Furthermore, the calculation process is simple and efficient, eliminating the need for remodeling and calculation for different working conditions as required by numerical methods. It offers better versatility and effectively saves calculation time. It can quickly and accurately solve for the soil seepage field distribution and the magnitude of water pressure on the basement floor and sidewalls under any working condition. It can accurately quantify and evaluate the pressure reduction effect of pressure relief valves on the basement floor and sidewalls, providing a clear theoretical basis and computational support for the layout and design of pressure relief valves. It also provides a unified and standardized theoretical tool for early-stage scheme comparison, mid-stage design optimization, and later-stage working condition verification.
[0015] In addition, the basement soil seepage field calculation system based on the bottom plate pressure relief valve of the present invention also has the above-mentioned advantages.
[0016] In addition to the objectives, features, and advantages described above, the present invention has other objectives, features, and advantages. The invention will now be described in further detail with reference to the figures. Attached Figure Description
[0017] The accompanying drawings, which form part of this application, are used to provide a further understanding of the invention. The illustrative embodiments of the invention and their descriptions are used to explain the invention and do not constitute an undue limitation of the invention. In the drawings: Figure 1 This is a flowchart illustrating the calculation method for the seepage field of basement soil based on a pressure relief valve in a preferred embodiment of this application. Figure 2 This is a schematic diagram of the structure of the two-dimensional steady-state seepage field analytical calculation model considering the pressure relief of the basement floor slab in the preferred embodiment of this application; Figure 3 This is a schematic diagram of the computational domain division of the seepage field of the soil outside the basement in a preferred embodiment of this application; Figure 4 This is a schematic diagram showing the comparison of seepage field distribution between analytical and numerical solutions in a preferred embodiment of this application; Figure 5 This is a schematic diagram showing the comparison of analytical and numerical solutions for calculating water pressure on the basement floor in a preferred embodiment of this application. Figure 6 This is a schematic diagram showing the comparison of analytical and numerical solutions for calculating water pressure on the basement sidewalls in a preferred embodiment of this application. Figure 7 This is a schematic diagram of the module structure of a basement soil seepage field calculation system based on a basement pressure relief valve, according to another embodiment of this application. Detailed Implementation
[0018] It should be noted that, unless otherwise specified, the embodiments and features described in this application can be combined with each other. This application will now be described in detail with reference to the accompanying drawings and embodiments.
[0019] Reference Figure 1 A preferred embodiment of this application provides a method for calculating the seepage field of basement soil based on a pressure relief valve on the basement slab, including the following: Step S1: Construct a two-dimensional steady-state seepage field analytical calculation model for pressure relief of the basement floor slab, and set the seepage field calculation area; Step S2: Set the basic assumptions for the seepage field calculation region, divide the seepage field calculation region into multiple calculation domains, and set the boundary conditions for each calculation domain. Step S3: Solve for the series form of the total head of each computational domain based on the boundary conditions of each computational domain; Step S4: Based on the condition that the total head and flow rate are continuous between adjacent computational domains, solve for the undetermined coefficients in the series form of the total head of each computational domain, and calculate the explicit analytical solution of the total head of each computational domain. Step S5: Based on the explicit analytical solution of the total head in each computational domain, calculate the water pressure distribution on the basement floor and side walls.
[0020] It is understood that the method for calculating the seepage field of basement soil based on the pressure relief valve in this embodiment cannot directly solve the entire seepage field calculation area because the boundary conditions of different parts of the entire seepage field calculation area are inconsistent. However, this invention can solve the total head of each calculation area separately by dividing the seepage field into multiple calculation domains and setting the boundary conditions of each calculation domain, and then calculate the water pressure distribution on the basement floor and side walls. This invention addresses the engineering conditions of installing pressure relief valves on basement floors in areas with high groundwater levels. For the first time, it proposes an analytical calculation method for the two-dimensional seepage field of soil and the water pressure in the basement structure, considering the active drainage pressure reduction effect. Compared to numerical methods, the analytical method can directly and intuitively present the head distribution at each point in the seepage field in functional form, clearly demonstrating the interrelationships between various influencing factors. Furthermore, the calculation process is simple and efficient, eliminating the need for remodeling and calculation for different working conditions as required by numerical methods. It offers better versatility and effectively saves calculation time. It can quickly and accurately solve for the soil seepage field distribution and the magnitude of water pressure on the basement floor and sidewalls under any working condition. It can accurately quantify and evaluate the pressure reduction effect of pressure relief valves on the basement floor and sidewalls, providing a clear theoretical basis and computational support for the layout and design of pressure relief valves. It also provides a unified and standardized theoretical tool for early-stage scheme comparison, mid-stage design optimization, and later-stage working condition verification.
[0021] In step S1, a two-dimensional steady-state seepage field analytical calculation model considering the pressure relief of the basement floor slab is first constructed, such as... Figure 2 As shown, the geometric parameters of the model include: the distance between the groundwater level and the basement floor slab. a Distance from basement floor to impermeable layer b The seepage field affects the distance from the boundary to the basement sidewall. c The pressure relief valves are symmetrically arranged about the central axis of the basement. The distances from the pressure relief valves to the central axis and the side walls of the basement are respectively... f , e The width of the pressure relief valve is d Based on the principle of symmetry, this invention selects the left half of the saturated soil as the research object, and sets the left half of the two-dimensional steady-state seepage field as the calculation region of the seepage field.
[0022] It is understandable that, due to the inconsistent boundary conditions in different parts of the left half of the two-dimensional steady-state seepage field, it is impossible to directly solve the entire left half region. Therefore, in step S2, the present invention sets basic assumptions for the seepage field calculation region, divides the seepage field calculation region into multiple calculation domains, sets boundary conditions for each calculation domain, and solves each calculation domain separately.
[0023] Specifically, the basic assumptions for the seepage field calculation area are first set, including: the central axis of the basement is an impermeable boundary; the groundwater level remains constant; the impermeable layer, basement floor slab, and side walls are impermeable boundaries; the pressure head at the pressure relief valve is constant; the total boundary head outside the seepage field influence boundary remains constant and is the same as the total surface water head; the soil is homogeneous and isotropic in permeability; the groundwater seepage in the soil is steady-state seepage, satisfying Darcy's law, i.e. ,in, Indicates the first i Total head distribution of each computational domain.
[0024] Then, as Figure 3 As shown, a two-dimensional coordinate system is established with the intersection of the basement floor slab and the side wall as the origin, the width of the basement floor slab as the positive x-axis, and the height of the side wall as the positive y-axis. The area enclosed by the negative x-axis, the seepage field influence boundary, the groundwater level, and the side wall is divided into the first calculation domain. The area enclosed by the negative x-axis, the negative y-axis, the seepage field influence boundary, and the impermeable layer is divided into the second calculation domain. The area enclosed by the negative y-axis, the basement floor slab, the impermeable layer, and the section containing the left end face of the pressure relief valve is divided into the third calculation domain. The area enclosed by the basement floor slab, the impermeable layer, the section containing the left end face of the pressure relief valve, and the section containing the right end face of the pressure relief valve is divided into the fourth calculation domain. The area enclosed by the basement floor slab, the impermeable layer, the section containing the right end face of the pressure relief valve, and the central axis of the basement is divided into the fifth calculation domain. The first and second calculation domains are adjacent in the y-axis direction, and the second, third, fourth, and fifth calculation domains are sequentially adjacent in the x-axis direction.
[0025] Next, boundary conditions are set for five computational domains. The boundary condition for the first computational domain is: the total head at the left and upper boundaries is 1. a The right boundary is impermeable, that is... The boundary conditions for the second computational domain are: the total head at the left boundary is... a The lower boundary is impermeable, that is The boundary conditions for the third computational domain are: both the upper and lower boundaries are impermeable, i.e. The boundary conditions for the fourth computational domain are: the total head at the upper boundary is... The lower boundary is impermeable, that is The boundary conditions for the fifth computational domain are: the upper boundary, lower boundary, and right boundary are all impermeable, i.e. ;in, a This represents the distance between the groundwater level and the basement floor slab along the y-axis. This indicates the pressure head at the pressure relief valve.
[0026] Furthermore, in step S3, the Laplace equation is solved using the method of separation of variables based on the boundary conditions of the five computational domains: This allows us to obtain the series expression for the total head of each computational domain. Specifically, the series expression for the total head of each computational domain is: ; ; ; ; ; in, , , , These represent the total head distribution in the first, second, third, and fourth computational domains, respectively. , , , , , , , , , and Denotes the undetermined coefficients in the solution of a series. , and Represents the eigenvalues in the solution of the series. , , , a This represents the distance between the groundwater level and the basement floor slab along the y-axis. b This indicates the distance between the basement floor slab and the impermeable layer. c This represents the distance between the boundary and the sidewall affected by the seepage field along the x-axis. d Indicates the width of the pressure relief valve. e This indicates the distance between the pressure relief valve and the side wall. f This represents the distance between the pressure relief valve and the central axis of the basement. sin represents the sine function, sinh represents the hyperbolic sine function, cos represents the cosine function, and cosh represents the hyperbolic cosine function. This indicates the pressure head at the pressure relief valve. Furthermore, the method of separating variables is existing technology, and its specific principles will not be elaborated here.
[0027] Furthermore, in step S4, since the present invention has divided the data into five computational domains, each of which is a separate and complete region, the boundaries between adjacent computational domains must satisfy the conditions of continuous total head and continuous flow. According to the assumptions, the flow rate of Darcy seepage is proportional to the hydraulic gradient, i.e.: , , , Substituting the above four equations into the series expression of the total head in each computational domain, based on the properties of Fourier series, the undetermined coefficients in the series solution can be obtained. , , , , , , , , , and The relationships between them include: , , , , , , , , , , Then, the matrix is solved using MATLAB software. For example, suppose the series terms are in... N Cut-off point, i.e., undetermined coefficients The total number of items is N If there are 8 terms, then there are a total of 8 terms in the above relation. N With 3 conditions, the solution can be found. , , , , , , , , , and A total of 8 N Add 3 undetermined coefficients, and then substitute each undetermined coefficient back into the series form expression of the total head of each computational domain to obtain the explicit analytical solution of the total head of each computational domain.
[0028] Furthermore, in step S5, according to Bernoulli's equation, under steady-state seepage conditions, the total head is equal to the sum of the position head and the pressure head, that is: ,in, Indicates the first i Water pressure distribution in each computational domain This indicates the specific gravity of water. Regarding the water pressure distribution on the basement side walls, [the following will be used]. x Substituting 0 into the total head distribution expression for the first computational domain, we can obtain: ; in, This indicates the water pressure distribution on the side wall.
[0029] Regarding the water pressure distribution on the basement floor slab, y Substituting 0 into the total head distribution expressions for the third, fourth, and fifth computational domains, we obtain: ; in, This indicates the water pressure distribution on the basement floor slab.
[0030] In addition, to verify the correctness of the analytical solution calculated by this invention, comparative experiments were also conducted. The accuracy of the analytical solutions for the soil seepage field and the water pressure distribution in the basement structure was verified using numerical solutions from numerical software. The geometric parameters of the comparative experiments are as follows: a It is 15m; b It is 15m; c It is 30m; f and e It is 10m; d It is 1m. p 0 = 1m. The comparison results of the seepage field distribution are as follows: Figure 4 As shown, the comparison results of water pressure calculations on the basement floor slab are as follows: Figure 5 As shown, the comparison results of water pressure calculations on the basement side walls are as follows: Figure 6 As shown.
[0031] In addition, such as Figure 7 As shown, another embodiment of the present invention also provides a basement soil seepage field calculation system based on a basement pressure relief valve, preferably employing the basement soil seepage field calculation method based on a basement pressure relief valve as described above, including: The model building module is used to construct a two-dimensional steady-state seepage field analytical calculation model for pressure relief of the basement floor slab, and to set the seepage field calculation area; The region partitioning module is used to set the basic assumptions of the seepage field calculation region, divide the seepage field calculation region into multiple calculation domains, and set the boundary conditions of each calculation domain. The first calculation module is used to solve for the series form of the total head of each calculation domain based on the boundary conditions of each calculation domain. The second calculation module is used to solve for the undetermined coefficients in the series form of the total head of each calculation domain based on the conditions that the total head and flow rate are continuous between adjacent calculation domains, and to calculate the explicit analytical solution of the total head of each calculation domain. The third calculation module is used to calculate the water pressure distribution on the basement floor and side walls based on the explicit analytical solution of the total head of each calculation domain.
[0032] It is understood that the basement soil seepage field calculation system based on the pressure relief valve of the basement in this embodiment cannot directly solve the entire seepage field calculation area because the boundary conditions of different parts of the entire seepage field calculation area are inconsistent. However, the present invention can solve the total head of each calculation area separately by dividing the seepage field into multiple calculation domains and setting the boundary conditions of each calculation domain, and then calculate the water pressure distribution on the basement floor and side walls. This invention addresses the engineering conditions of installing pressure relief valves on basement floors in areas with high groundwater levels. For the first time, it proposes an analytical calculation method for the two-dimensional seepage field of soil and the water pressure in the basement structure, considering the active drainage pressure reduction effect. Compared to numerical methods, the analytical method can directly and intuitively present the head distribution at each point in the seepage field in functional form, clearly demonstrating the interrelationships between various influencing factors. Furthermore, the calculation process is simple and efficient, eliminating the need for remodeling and calculation for different working conditions as required by numerical methods. It offers better versatility and effectively saves calculation time. It can quickly and accurately solve for the soil seepage field distribution and the magnitude of water pressure on the basement floor and sidewalls under any working condition. It can accurately quantify and evaluate the pressure reduction effect of pressure relief valves on the basement floor and sidewalls, providing a clear theoretical basis and computational support for the layout and design of pressure relief valves. It also provides a unified and standardized theoretical tool for early-stage scheme comparison, mid-stage design optimization, and later-stage working condition verification.
[0033] In addition, another embodiment of the present invention provides an electronic device including a processor and a memory, wherein the memory stores a computer program, and the processor executes the steps of the method described above by calling the computer program stored in the memory.
[0034] In addition, another embodiment of the present invention provides a computer-readable storage medium for storing a computer program for calculating the seepage field of basement soil based on a pressure relief valve on a basement slab. The computer program executes the steps of the method described above when it is run on a computer.
[0035] Common computer-readable storage media include: floppy disks, flexible disks, hard disks, magnetic tapes, any other magnetic media, CD-ROMs, any other optical media, punch cards, paper tape, any other physical media with perforated patterns, random access memory (RAM), programmable read-only memory (PROM), erasable programmable read-only memory (EPROM), flash erasable programmable read-only memory (FLASH-EPROM), any other memory chips or cartridges, or any other media readable by a computer. Instructions may further be transmitted or received by a transmission medium. The term transmission medium can include any tangible or intangible medium used to store, encode, or carry instructions for execution by a machine, and includes digital or analog carrier communication signals or intangible media that facilitate communication of such instructions. Transmission media include coaxial cables, copper wires, and optical fibers, which contain conductors for transmitting a bus of computer data signals.
[0036] Those skilled in the art will understand that embodiments of this application can be provided as methods, systems, or computer program products. Therefore, this application can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, this application can take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code. The solutions in the embodiments of this application can be implemented in various computer languages, such as the object-oriented programming language Java and the interpreted scripting language JavaScript.
[0037] This application is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this application. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart... Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.
[0038] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.
[0039] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.
[0040] Although preferred embodiments of this application have been described, those skilled in the art, upon learning the basic inventive concept, can make other changes and modifications to these embodiments. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments as well as all changes and modifications falling within the scope of this application.
[0041] Obviously, those skilled in the art can make various modifications and variations to this application without departing from the spirit and scope of this application. Therefore, if such modifications and variations fall within the scope of the claims of this application and their equivalents, this application also intends to include such modifications and variations.
[0042] The above description is merely a preferred embodiment of the present invention and is not intended to limit the invention. Various modifications and variations can be made to the present invention by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.
Claims
1. A method for calculating the seepage field of basement soil based on a pressure relief valve on the base plate, characterized in that, Includes the following: A two-dimensional steady-state seepage field analytical calculation model for pressure relief of the basement floor slab is constructed, and the calculation area of the seepage field is defined; The basic assumptions of the seepage field calculation domain are set, the seepage field calculation domain is divided into multiple calculation domains, and the boundary conditions of each calculation domain are set. The series form of the total head of each computational domain is obtained by solving the boundary conditions of each computational domain. Based on the condition that the total head and flow rate are continuous between adjacent computational domains, the undetermined coefficients in the series form of the total head of each computational domain are solved, and the explicit analytical solution of the total head of each computational domain is obtained. Based on the explicit analytical solution of the total head in each computational domain, the water pressure distribution on the basement floor and side walls is calculated.
2. The method for calculating the seepage field of basement soil based on a pressure relief valve in a basement as described in claim 1, characterized in that, The basic assumptions for calculating the seepage field include: the central axis of the basement is an impermeable boundary; the groundwater level remains constant; the impermeable layer, basement floor, and side walls are impermeable boundaries; the pressure head at the pressure relief valve is constant; the total head of the boundary outside the seepage field influence boundary remains constant and is the same as the total head of the surface; the soil is homogeneous and isotropic in permeability, and the groundwater seepage in the soil is steady-state seepage.
3. The method for calculating the seepage field of basement soil based on a pressure relief valve in a basement as described in claim 1, characterized in that, The process of dividing the seepage field calculation domain into multiple calculation domains includes the following: A two-dimensional coordinate system is established with the intersection of the basement floor slab and the side wall as the origin, the width of the basement floor slab as the positive x-axis, and the height of the side wall as the positive y-axis. The area enclosed by the negative x-axis, the seepage field influence boundary, the groundwater level, and the side wall is defined as the first calculation domain. The area enclosed by the negative x-axis, the negative y-axis, the seepage field influence boundary, and the impermeable layer is defined as the second calculation domain. The area enclosed by the negative y-axis, the basement floor slab, the impermeable layer, and the section containing the left end face of the pressure relief valve is defined as the third calculation domain. The area enclosed by the basement floor slab, the impermeable layer, the section containing the left end face of the pressure relief valve, and the section containing the right end face of the pressure relief valve is defined as the fourth calculation domain. The area enclosed by the basement floor slab, the impermeable layer, the section containing the right end face of the pressure relief valve, and the central axis of the basement is defined as the fifth calculation domain. The first and second calculation domains are adjacent in the y-axis direction, and the second, third, fourth, and fifth calculation domains are sequentially adjacent in the x-axis direction.
4. The method for calculating the seepage field of basement soil based on a pressure relief valve in claim 1, characterized in that, The boundary conditions for the first computational domain are: the total head at the left and upper boundaries is 1. a The right boundary is impermeable; the boundary condition of the second computational domain is: the total head at the left boundary is... a The lower boundary is impermeable; the boundary condition of the third computational domain is that both the upper and lower boundaries are impermeable; the boundary condition of the fourth computational domain is that the total head at the upper boundary is... The lower boundary is impermeable; the boundary conditions of the fifth computational domain are: the upper boundary, lower boundary, and right boundary are all impermeable; among them, a This represents the distance between the groundwater level and the basement floor slab along the y-axis. This indicates the pressure head at the pressure relief valve.
5. The method for calculating the seepage field of basement soil based on a pressure relief valve in claim 1, characterized in that, The series form of the total head in each computational domain is as follows: ; ; ; ; ; in, , , , These represent the total head distribution in the first, second, third, and fourth computational domains, respectively. , , , , , , , , , and Denotes the undetermined coefficients in the solution of a series. , and Represents the eigenvalues in the solution of the series. , , , a This represents the distance between the groundwater level and the basement floor slab along the y-axis. b This indicates the distance between the basement floor slab and the impermeable layer. c This represents the distance between the boundary and the sidewall affected by the seepage field along the x-axis. d Indicates the width of the pressure relief valve. e This indicates the distance between the pressure relief valve and the side wall. f This represents the distance between the pressure relief valve and the central axis of the basement. sin represents the sine function, sinh represents the hyperbolic sine function, cos represents the cosine function, and cosh represents the hyperbolic cosine function. This indicates the pressure head at the pressure relief valve.
6. The method for calculating the seepage field of basement soil based on a pressure relief valve in a basement as described in claim 5, characterized in that, The water pressure distribution on the sidewall is calculated based on the following formula: ; in, This indicates the water pressure distribution on the sidewall. It indicates the density of water.
7. The method for calculating the seepage field of basement soil based on a pressure relief valve in a basement as described in claim 5, characterized in that, The water pressure distribution on the basement floor slab is calculated based on the following formula: ; in, This indicates the water pressure distribution on the basement floor slab.
8. A calculation system for the seepage field of basement soil based on a pressure relief valve in the basement slab, characterized in that, include: The model building module is used to construct a two-dimensional steady-state seepage field analytical calculation model for pressure relief of the basement floor slab, and to set the seepage field calculation area; The region partitioning module is used to set the basic assumptions of the seepage field calculation region, divide the seepage field calculation region into multiple calculation domains, and set the boundary conditions of each calculation domain. The first calculation module is used to solve for the series form of the total head of each calculation domain based on the boundary conditions of each calculation domain. The second calculation module is used to solve for the undetermined coefficients in the series form of the total head of each calculation domain based on the conditions that the total head and flow rate are continuous between adjacent calculation domains, and to calculate the explicit analytical solution of the total head of each calculation domain. The third calculation module is used to calculate the water pressure distribution on the basement floor and side walls based on the explicit analytical solution of the total head of each calculation domain.
9. An electronic device, characterized in that, The method includes a processor and a memory, wherein the memory stores a computer program, and the processor executes the steps of the method as described in any one of claims 1 to 7 by calling the computer program stored in the memory.
10. A computer-readable storage medium for storing a computer program for calculating the seepage field of basement soil based on a pressure relief valve on a floor slab, characterized in that, The computer program, when run on a computer, performs the steps of the method as described in any one of claims 1 to 7.